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Finding the Third Proportional to 34,845.19 and 57,596.06

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Solution

The third proportional to 34,845.19 and 57,596.06 is: 95,201.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,845.19 : 57,596.06 = 57,596.06 : x
  2. Step 2: Convert to fraction form
    34,845.19/57,596.06 = 57,596.06/x
  3. Step 3: Cross multiply
    34,845.19x = 57,596.06 × 57,596.06
  4. Step 4: Simplify right side
    34,845.19x = 3,317,306,415.50
  5. Step 5: Solve for x
    x = 3,317,306,415.50/34,845.19
  6. Step 6: Final answer
    x = 95,201.28

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.